The Tungsten E doesn't have an universal connector like most other Tungstens. So you will have to get one that does support Tungsten E specifically. The USB sync cable does charge the PDA in addition to syncing.

I purchased the miniSync cable which claims to sync and charge. I tried it but the charging speed appears to be the same as the USB cable: - very, very slow. I still think the USB cable for sync and charge is OK if you are not in a hurry.